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Finding the Third Proportional to 437,138 and 959,908

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Solution

The third proportional to 437,138 and 959,908 is: 2,107,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,138 : 959,908 = 959,908 : x
  2. Step 2: Convert to fraction form
    437,138/959,908 = 959,908/x
  3. Step 3: Cross multiply
    437,138x = 959,908 × 959,908
  4. Step 4: Simplify right side
    437,138x = 921,423,368,464
  5. Step 5: Solve for x
    x = 921,423,368,464/437,138
  6. Step 6: Final answer
    x = 2,107,854.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.